zbMath0936.16001MaRDI QIDQ4700803
Vesselin Drensky
Publication date: 8 November 1999
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Codimension sequences and their asymptotic behavior ⋮
\(\ell\)-weak identities and central polynomials for matrices ⋮
Relatively free algebras of finite rank ⋮
Graded algebras, algebraic functions, planar trees, and elliptic integrals ⋮
Codimension growth for weak polynomial identities, and non-integrality of the PI exponent ⋮
On almost nilpotent varieties of linear algebras ⋮
\((\delta,\varepsilon)\)-differential identities of \(UT_m(F)\) ⋮
Identities in group rings, enveloping algebras and Poisson algebras ⋮
Tame and wild coordinates of \(\mathbb Z[x,y\).] ⋮
Graded PI-exponents of simple Lie superalgebras ⋮
\(A\)-identities for the \(2\times 2\) matrix algebra. ⋮
Codimension growth of simple Jordan superalgebras ⋮
Varieties with at most cubic growth ⋮
Differential identities, \(2 \times 2\) upper triangular matrices and varieties of almost polynomial growth ⋮
Algebras with involution with linear codimension growth. ⋮
On minimal varieties of quadratic growth ⋮
Normal bases of PI-algebras. ⋮
Affine representability and decision procedures for commutativity theorems for rings and algebras ⋮
Poisson algebras of polynomial growth ⋮
Identities and cocharacters of the algebra of \(3 \times 3\) matrices with non-trivial grading and transpose graded involution ⋮
Subexponential estimates in the height theorem and estimates on numbers of periodic parts of small periods. ⋮
Varieties with at most quadratic growth ⋮
The central polynomials for the Grassmann algebra. ⋮
On \(*\)-cocharacters of \(M_{1,1}(E)\). ⋮
Varieties of almost polynomial growth: classifying their subvarieties. ⋮
Polynomial growth and star-varieties. ⋮
On \(\mathbb Z_2\)-graded identities of the generalized Grassmann envelope of the upper triangular matrices \(UT_{k,l}(F)\). ⋮
Growth for algebras satisfying polynomial identities. ⋮
Graded polynomial identities for the upper triangular matrix algebra over a finite field ⋮
Generating functions for ternary algebras and ternary trees ⋮
Identities of bilinear mappings and graded polynomial identities of matrices ⋮
Identities and central polynomials with involution for the Grassmann algebra ⋮
Actions of Taft's algebras on finite dimensional algebras ⋮
Supervarieties of small graded colength. ⋮
On multiplicities of cocharacters for algebras with superinvolution ⋮
Graded polynomial identities, group actions, and exponential growth of Lie algebras ⋮
\(Y\)-proper graded cocharacters and codimensions of upper triangular matrices of size 2, 3, 4. ⋮
Noetherianity and Specht problem for varieties of bicommutative algebras ⋮
Growth of codimensions of metabelian algebras ⋮
An uncountable family of almost nilpotent varieties of polynomial growth ⋮
Minimal star-varieties of polynomial growth and bounded colength ⋮
Asymptotics of graded codimension of upper triangular matrices ⋮
Central polynomials in the matrix algebra of order two. ⋮
Maximal \(T\)-spaces of a free associative algebra. ⋮
Representability and Specht problem for \(G\)-graded algebras. ⋮
Evaluations of noncommutative polynomials on algebras: methods and problems, and the L'vov-Kaplansky conjecture ⋮
Necessary and sufficient conditions of polynomial growth of varieties of Leibniz-Poisson algebras ⋮
Automorphisms of the endomorphism semigroups of free linear algebras of homogeneous varieties ⋮
Graded codimensions of Lie superalgebra \(b(2)\) ⋮
Finitely generated algebras with involution and multiplicities bounded by a constant. ⋮
Varieties of superalgebras of almost polynomial growth. ⋮
GK dimension of the relatively free algebra for \(sl_2\) ⋮
Graded cocharacters of minimal subvarieties of supervarieties of almost polynomial growth. ⋮
On almost nilpotent varieties of subexponential growth ⋮
T-spaces in associative algebras. ⋮
On polynomial identities in nil-algebras. ⋮
Superinvolutions on upper-triangular matrix algebras ⋮
Limit T-spaces. ⋮
On applying the Littlewood-Richardson rule. ⋮
Lie algebras simple with respect to a Taft algebra action ⋮
Pauli gradings on Lie superalgebras and graded codimension growth ⋮
The image of multilinear polynomials evaluated on \(3 \times 3\) upper triangular matrices ⋮
Weak polynomial identities and their applications ⋮
Polynomial identities of Banach algebras ⋮
On weakly locally finite division rings ⋮
\(Y\)-proper graded cocharacters of upper triangular matrices of order \(m\) graded by the \(m\)-tuple \(\phi=(0,0,1,\ldots,m-2)\). ⋮
\(A\)-identities for upper triangular matrices: a question of Henke and Regev. ⋮
Characterization of non-matrix varieties of associative algebras. ⋮
The Gelfand-Kirillov dimension of the universal algebras of \(M_{a,b}(E)\otimes E\) in positive characteristic. ⋮
Graded polynomial identities and central polynomials of matrices over an infinite integral domain ⋮
Growth in Poisson algebras ⋮
On \(\mathbb Z_2\)-graded identities of the super tensor product of \(UT_2(F)\) by the Grassmann algebra. ⋮
Cocharacters for the weak polynomial identities of the Lie algebra of \(3 \times 3\) skew-symmetric matrices ⋮
PI-algebras with slow codimension growth. ⋮
Combinatorics on binary words and codimensions of identities in left nilpotent algebras ⋮
Semigroup graded algebras and graded PI-exponent ⋮
Derivations, gradings, actions of algebraic groups, and codimension growth of polynomial identities. ⋮
An almost nilpotent variety of exponent 2 ⋮
Superalgebras with involution or superinvolution and almost polynomial growth of the codimensions ⋮
Superalgebras with graded involution: classifying minimal varieties of quadratic growth ⋮
Noncommutative invariant theory of symplectic and orthogonal groups ⋮
\(\mathbb Z_2\)-graded identities of the Grassmann algebra in positive characteristic. ⋮
Unitary superalgebras with graded involution or superinvolution of polynomial growth ⋮
Matrix algebras of polynomial codimension growth. ⋮
Polynomial codimension growth of algebras with involutions and superinvolutions ⋮
Classifying algebras with graded involutions or superinvolutions with multiplicities of their cocharacter bounded by one ⋮
Multigraded Hilbert series of noncommutative modules ⋮
Non-integrality of the PI-exponent of special Lie algebras ⋮
Super-cocharacters, star-cocharacters and multiplicities bounded by one. ⋮
On PI-algebras with additional structures: rationality of Hilbert series and Specht's problem ⋮
Lie, Jordan and proper codimensions of associative algebras. ⋮
Polynomial identities for the Jordan algebra of \(2 \times 2\) upper triangular matrices ⋮
Varieties of algebras with pseudoinvolution: codimensions, cocharacters and colengths ⋮
Differential polynomial identities of upper triangular matrices under the action of the two-dimensional metabelian Lie algebra ⋮
On the graded identities and cocharacters of the algebra of \(3\times 3\) matrices ⋮
Burnside-type problems, theorems on height, and independence. ⋮
On existence of PI-exponents of unital algebras ⋮
Regev's conjecture and codimensions of P.I. algebras. ⋮
Graded polynomial identities of matrices ⋮
Central polynomials of graded algebras: capturing their exponential growth
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